Question

Describe the difference between a rational and irrational number and give an example of each

Answer 1

Rational number:

The rational numbers are the number that can expressed in from of a ratio that mean from is:

$\begin{gathered} \frac{p}{q} \\ \text{and q}\ne0 \end{gathered}$

Irrational number:

The irrational number cannot be expressed as a fraction .

But the both number is real number and its represent the number line.

Difference is:

Rational number are finite and repeating decimal whereas irrational are infinite and non-repeating.

Examples :

Rational number

$\frac{5}{4},\frac{1}{100}\text{ etc.}$

Irrational number

$\sqrt[]{2},\sqrt[]{3},\pi\text{ (pi)}$